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Schwarz–Christoffel mapping

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Schwarz–Christoffel mapping

conformal map of the upper half-plane or the complex unit disk onto the interior of a simple polygon

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About Schwarz–Christoffel mapping

In complex analysis, a Schwarz–Christoffel mapping is a conformal map of the upper half-plane or the complex unit disk onto the interior of a simple polygon. Such a map is guaranteed to exist by the Riemann mapping theorem ; the Schwarz–Christoffel formula provides an explicit construction. They were introduced independently by Elwin Christoffel in 1867 and Hermann Schwarz in 1869.

Facts from Wikidata (CC0). Image by User:Jitse Niesen via Wikimedia Commons (Public domain).

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